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Finding the Fourth Proportional to 261, 358.57 and 219.48

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Solution

The fourth proportional to 261, 358.57 and 219.48 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 358.57 = 219.48 : x
  2. Step 2: Convert to fraction form
    261/358.57 = 219.48/x
  3. Step 3: Cross multiply
    261x = 358.57 × 219.48
  4. Step 4: Simplify right side
    261x = 78,698.94
  5. Step 5: Solve for x
    x = 78,698.94/261
  6. Step 6: Final answer
    x = 301.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.